課程名稱︰普通物理學甲下
課程性質︰大一某些系必修
課程教師︰王名儒教授
開課學院：
開課系所︰
考試日期（年月日）︰2016/6/21
考試時限（分鐘）：110+ mins
試題 :
1.
A plane electromagnetic wave, with wavelength 3.0 m, travels in vacuum in the positive y direction with its electric vector E, of amplitude 300 V/m, directed along the z-axis. Find the magnetic field as a function of y and t.
2.
Sunlight just outside Earth's atmosphere has an intensity of 1.40 kW/m^2. Find the amplitude of the electric field for sunlight there, assuming it to be a plane wave. What will be the radiation pressure on a perfect reflecting mirror exerted by sunlight with normal direction?
3.
Suppose that one of the slits of a double-slit arrangement is wider that the other, so that the amplitude of the light reaching the central part of the screen from ine slit, acting alone, is twice that from the other slit, acting alone. Derive an expression for the light intensity I at the screen in terms of the angle(θ) to the central axis, the slit spacing(d) and the wavelength(λ).
4.
A thin film suspended in air is 0.40 μm thick and is illuminated with white light incident perpendicularly on its surface. The index of refraction of the film is 1.5. At what wavelength will visible light that is reflected from the two surfaces of the film undergo fully constructive interference?
5.
The pupil of a person's eye has a diameter of 5.00 nm. What distance apart must two small objects be if their images are just resolved when the are 250 mm from the eye and illuminated with light of wavelength 500 nm?
6.
A diffraction grating with a width of 2.0 cm contains 10000 lines across that width. For an incident wavelength of 600 nm, what is the smallest wavelength difference this grating can resolve in the second order? What is the highest order of maxima that can be seen?
7.
Write down the two postulates of special relativity and the Lorentz transformation between two imertial frames with a relative velocity v along the x direction.
8.
A particle of mass m has a momentum equal to mc. What are (a) its speed, and (b) its kinetic energy?
9.
Describe briefly about the setup and the results of Compton scattering experiment.
10.
Find the uncertainty of the position for a grounf state particle trapped in a one dimensional infinite potential well. The mass of the particle is m and the width of the potential well is a.